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Finding the Fourth Proportional to 2,059.21, 3,089.12 and 598.48

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Solution

The fourth proportional to 2,059.21, 3,089.12 and 598.48 is: 897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.21 : 3,089.12 = 598.48 : x
  2. Step 2: Convert to fraction form
    2,059.21/3,089.12 = 598.48/x
  3. Step 3: Cross multiply
    2,059.21x = 3,089.12 × 598.48
  4. Step 4: Simplify right side
    2,059.21x = 1,848,776.54
  5. Step 5: Solve for x
    x = 1,848,776.54/2,059.21
  6. Step 6: Final answer
    x = 897.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.